Hi,
I am not giving any serious advice here but I am an international student from East Aisa and something I went through might help you a bit.
I got my MA degree from Essex (UK) after BA( in my home country )mainly because of 1. I am not sure if I want to go into academia at that point so I decided a short-term MA will be better than 5 years commitment in US 2.my undergrad GPA sucks (3.0) and I need something to balance it, MA in prestigious school (which I believed Essex counts?) will do the job
This cycle, I applied for 7 US Ph.D. programs (major in political theory so I believed it's a bit different from other fields) and my results are:
5 denied 1 wait-listed(in California ,UC system) and 1 admission(public state uni,ranked 70-80 ).
Before the pandemic, I was told I am likely to be admitted by the UC school but after 415, they told me they decided to cut the whole wait-list due to economic recession.( they predict undergraduate enrollment numbers will decrease next few years, so TAships will be cut)
On the other hand, the school I got admission from did not offer me funding at the beginning. Somehow they decided to give me TAship right before 415 when all other schools were cutting. Of course, I took the offer right away knowing next year will be harder(in my personal opinion). So, who knows? Pandemic sure is something to worry about for next year but there's really nothing you can do, just prepare yourself like normal application cycle-try your best!
For your question about visa, I am not sure where are you traveling from and to but: My school already sent me the document and I have a visa appointment in July (program start date in mid-August). Also, student visa F1 is a non-immigration visa so the new ban does not affect it.
If your LSE program the Online certificate one ? If you don't have to pay a lot for it I think it's great and might be helpful. However, my friends back in the UK told me higher education is suffering now so I doubt the quality they can provide this year. If you have to pay a lot, I wouldn't suggest that.